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Popular >

simplify 4sqrt(25x^4y^2)

Solution

simplify

4 25 x^{4} y^{2}

Solution

20 x^{2} y

Solution steps

4 25 x^{4} y^{2}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

25 x^{4} y^{2} = 25 x^{4} y^{2}

= 425 x^{4} y^{2}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{4} y^{2} = x^{4} y^{2}

= 425 x^{4} y^{2}

25 = 5

= 4 \cdot 5 x^{4} y^{2}

Simplify

x^{4} : x^{2}

= 4 \cdot 5 x^{2} y^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= 4 \cdot 5 x^{2} y

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{2} y

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Frequently Asked Questions (FAQ)

What is 4sqrt(25x^4y^2) ?
The solution to 4sqrt(25x^4y^2) is 20x^2y